3a+14=42-a

Solution for 3a+14=42-a equation:

Simplifying
3a + 14 = 42 + -1a

Reorder the terms:
14 + 3a = 42 + -1a

Solving
14 + 3a = 42 + -1a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'a' to each side of the equation.
14 + 3a + a = 42 + -1a + a

Combine like terms: 3a + a = 4a
14 + 4a = 42 + -1a + a

Combine like terms: -1a + a = 0
14 + 4a = 42 + 0
14 + 4a = 42

Add '-14' to each side of the equation.
14 + -14 + 4a = 42 + -14

Combine like terms: 14 + -14 = 0
0 + 4a = 42 + -14
4a = 42 + -14

Combine like terms: 42 + -14 = 28
4a = 28

Divide each side by '4'.
a = 7

Simplifying
a = 7